Imagine you poll your friends on how many minutes per pound to roast a turkey. Five respond with 15 minutes; one answers 33 minutes. The most popular model of conformity, the French-Harary-DeGroot model (or more commonly, DeGroot model), assumes that you would carefully weigh all six recommendations, calculating a cooking time of 18 minutes per pound. But under a model of conformity previously published by SFI Complexity Postdoctoral Fellow Kaleda Denton and colleagues, you would disregard the outlier and move ahead with 15.
A dribble and a jump shot, followed by a fractions task. That is what physical education classes looked like for a group of pupils, and the pupils not only found the lessons more engaging than usual—they also became better at mathematics with a basketball in their hands, according to a new study from the University of Copenhagen.
How do children learn math? It's shaped by what they know as well as their motivation and engagement. Historically, research on children's math learning has been focused on parents' cognitive practices (such as math talk—informal conversations that involve math), however emerging evidence shows how parents' motivational practices (encouraging independence and helping children enjoy math) may also play a critical role in their math abilities.
From June 11, countless millions of people will be following the football World Cup in Canada, Mexico and the U.S. They will discuss their team's performance, talk like experts about tactics and formations, and cower behind the sofa during penalty shootouts. But a lot of what comes across as gut instinct and long-established football wisdom can now be verified with the help of data.
Researchers cracked a 50-year-old math problem scribbled by Richard Feynman over lunch. The equations show that humans are better decision-makers than scientists once thought.
I explore the concept of spiritual physics, suggesting an analogy between mathematical dimensions and spiritual realms. I posit that while the physical and spiritual worlds are categorically distinct, entities can exist in both, illustrated through the framework of complex numbers representing physical and spiritual entities.
Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are often high-dimensional, complex, and differences between them can take countless subtle forms.
Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future?
The following has been adapted from The Proof in the Code: How a Truth Machine Is Transforming Math and AI by Kevin Hartnett. Terry Tao has never been afraid of unconventional ideas. In November 2014, he was on a panel of five distinguished mathematicians, all inaugural recipients of the Breakthrough Prize in Mathematics, which came with a $3 million award. The laureates’ conversation ranged…
Physicists used quantum bits to achieve "perfect randomness" in a world-first experiment. The results of their research could strengthen cryptography and other security systems.
Mathematical functions are built from operations, which are used to perform the calculations that make science and technology run. But what if we could do away with multiplication, addition, subtraction, and division? That’s what one mathematician has done in a new paper – he claims that everything in mathematics can be done with just one operation, which he’s calling “eml”. Let’s take a look.
A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline.
Mathematicians from University College London and the University of California, Davis, have published a mathematical proof that the Universe’s accelerating expansion can be explained without dark energy, dealing a serious blow to the Lambda-cold dark matter model.
Let’s start with what’s probably the most tired, overused joke in math: A topologist is someone who can’t tell a coffee cup from a doughnut. Both, you see, have a hole in them. Topology is usually described as a sort of “rubber sheet” geometry in which two shapes are considered the same if one can be stretched or compressed into the other without tearing it. But this summary leaves out something…
The Concept A vector space is an additively written abelian group together with a field that operates on it. Intuitive picture vs abstract definition Vector spaces are often described as a set of arrows, i.e. a line segment with a direction that can be added, stretched, or compressed. That’s where the term linear to describe...
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